A mathematical system of COVID-19 disease model: Existence, uniqueness, numerical and sensitivity analysis

Sadri, Khadijeh; Aminikhah, Hossein; Aminikhah, Mahdi

doi:10.1016/j.mex.2023.102045

Cited by 2 publications

(1 citation statement)

References 24 publications

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“…We use the Routh-Hurwitz criterion to investigate stability of the system at E 1 [44]. So, based on the coefficeints of the characteristic polynomial in (6) we have…”

Section: Local Stabilitymentioning

confidence: 99%

Advanced Control Models for Glioblastoma Multiforme Management: Optimizing Drug Therapies and Adaptive Tumor Volume Regulation with Fractional-Order Mathematical Modeling

Amilo,

Sadri,

Hincal

2024

Preprint

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Glioblastoma Multiforme (GBM) is a highly aggressive and lethal form of brain tumor, presenting significant challenges in treatment and management. In this study, we propose advanced control models for the management of GBM, focusing on the optimization of drug therapies and adaptive regulation of tumor volume. Leveraging fractional-order mathematical modeling, our approach integrates mathematical modeling techniques with control theory to develop comprehensive strategies for GBM management. The proposed control models aim to optimize drug therapies by dynamically adjusting treatment parameters based on real-time tumor volume monitoring. This adaptive approach allows for personalized treatment regimens tailored to the specific characteristics of the tumor, enhancing therapeutic efficacy while minimizing adverse effects. By harnessing the capabilities of fractional-order modeling, our research provides a novel framework for advancing the management of GBM, offering new insights and strategies for combating this formidable disease MSC Classification: 92C55, 93C95, 92B05, 35R11, 35A22, 92C50, 35Q53, 49N90.

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“…We use the Routh-Hurwitz criterion to investigate stability of the system at E 1 [44]. So, based on the coefficeints of the characteristic polynomial in (6) we have…”

Section: Local Stabilitymentioning

confidence: 99%

Advanced Control Models for Glioblastoma Multiforme Management: Optimizing Drug Therapies and Adaptive Tumor Volume Regulation with Fractional-Order Mathematical Modeling

Amilo,

Sadri,

Hincal

2024

Preprint

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Fractional modeling and analysis of Hepatitis B virus using fixed-point approach

Garg,

Gonder

2024

Int. J. Mod. Phys. C

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In this paper, we delve into the analysis of the Hepatitis B model, specifically the [Formula: see text] model, within the scope of the Caputo–Fabrizio fractional operator. A new state variable the number of vaccinated individuals is also added to the model. This addition enriches the scope of the hepatitis B model inviting a deeper exploration of the subject matter. Our study proves the existence of a disease-free fixed point within the proposed compartmental model. To ensure the existence and uniqueness of the fixed point, we employ a fixed-point result in the b-complete b-dislocated quasi-metric space, utilizing a Geraghty-type contraction mapping. This approach establishes the fixed point of a disease-free state within the model. Furthermore, we employ a two-step Adams–Bashforth numerical scheme, serving as a validation of both the significance of fractional-order derivatives and the validity of our obtained theoretical results. Together our research presents an innovative perspective on the [Formula: see text] hepatitis B model pushing the boundaries of understanding and shedding light on the dynamics of disease transmission with the impact of vaccine.

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A mathematical system of COVID-19 disease model: Existence, uniqueness, numerical and sensitivity analysis

Cited by 2 publications

References 24 publications

Advanced Control Models for Glioblastoma Multiforme Management: Optimizing Drug Therapies and Adaptive Tumor Volume Regulation with Fractional-Order Mathematical Modeling

Advanced Control Models for Glioblastoma Multiforme Management: Optimizing Drug Therapies and Adaptive Tumor Volume Regulation with Fractional-Order Mathematical Modeling

Fractional modeling and analysis of Hepatitis B virus using fixed-point approach

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